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Finding the Third Proportional to 54,029.34 and 86,810.44

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Solution

The third proportional to 54,029.34 and 86,810.44 is: 139,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029.34 : 86,810.44 = 86,810.44 : x
  2. Step 2: Convert to fraction form
    54,029.34/86,810.44 = 86,810.44/x
  3. Step 3: Cross multiply
    54,029.34x = 86,810.44 × 86,810.44
  4. Step 4: Simplify right side
    54,029.34x = 7,536,052,058.94
  5. Step 5: Solve for x
    x = 7,536,052,058.94/54,029.34
  6. Step 6: Final answer
    x = 139,480.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.